***MUST BE DONE IN SPSS*** A researcher is interested in studying the effect tha
ID: 3300936 • Letter: #
Question
***MUST BE DONE IN SPSS***
A researcher is interested in studying the effect that the amount of fat in the diet and amount of exercise has on the mental acuity of middle-aged women. The researcher used three different treatment levels for the diet and two levels for the exercise. The results of the acuity test for the subjects in the different treatment levels are shown below.
Diet
Exercise
<30% fat
30% - 60% fat
>60% fat
<60 minutes
4
3
2
4
1
2
2
2
2
4
2
2
3
3
1
60 minutes
6
8
5
or more
5
8
7
4
7
5
4
8
5
5
6
6
a. Perform a two-way analysis of variance and explain the results. (Show all work to receive full credit)
b. Find the effect size for each factor and the interaction and explain the results. (Show all work to receive full credit)
Diet
Exercise
<30% fat
30% - 60% fat
>60% fat
<60 minutes
4
3
2
4
1
2
2
2
2
4
2
2
3
3
1
60 minutes
6
8
5
or more
5
8
7
4
7
5
4
8
5
5
6
6
Explanation / Answer
Answer:
A researcher is interested in studying the effect that the amount of fat in the diet and amount of exercise has on the mental acuity of middle-aged women. The researcher used three different treatment levels for the diet and two levels for the exercise. The results of the acuity test for the subjects in the different treatment levels are shown below.
SPSS code:
Data entered as in spss
Fat
Exercise
Mental acuity
1
1
4
1
1
4
1
1
2
1
1
4
1
1
3
1
2
6
1
2
5
1
2
4
1
2
4
1
2
5
2
1
3
2
1
1
2
1
2
2
1
2
2
1
3
2
2
8
2
2
8
2
2
7
2
2
8
2
2
6
3
1
2
3
1
2
3
1
2
3
1
2
3
1
1
3
2
5
3
2
7
3
2
5
3
2
5
3
2
6
UNIANOVA mentalacuity BY Fat Exercise
/METHOD=SSTYPE(3)
/INTERCEPT=INCLUDE
/PRINT=ETASQ DESCRIPTIVE
/CRITERIA=ALPHA(.05)
/DESIGN=Fat Exercise Fat*Exercise.
a. Perform a two-way analysis of variance and explain the results. (Show all work to receive full credit)
Descriptive Statistics
Dependent Variable: Mental acuity
Fat
Exercise
Mean
Std. Deviation
N
<30% fat
<60 minutes
3.40
.894
5
60 minutes or more
4.80
.837
5
Total
4.10
1.101
10
30% - 60% fat
<60 minutes
2.20
.837
5
60 minutes or more
7.40
.894
5
Total
4.80
2.860
10
>60% fat
<60 minutes
1.80
.447
5
60 minutes or more
5.60
.894
5
Total
3.70
2.111
10
Total
<60 minutes
2.47
.990
15
60 minutes or more
5.93
1.387
15
Total
4.20
2.124
30
Tests of Between-Subjects Effects
Dependent Variable: Mental acuity
Source
Type III Sum of Squares
df
Mean Square
F
Sig.
Partial Eta Squared
Corrected Model
114.800a
5
22.960
34.440
.000
.878
Intercept
529.200
1
529.200
793.800
.000
.971
Fat
6.200
2
3.100
4.650
.020
.279
Exercise
90.133
1
90.133
135.200
.000
.849
Fat * Exercise
18.467
2
9.233
13.850
.000
.536
Error
16.000
24
.667
Total
660.000
30
Corrected Total
130.800
29
a. R Squared = .878 (Adjusted R Squared = .852)
Test for fat: calculated F=4.65, P=0.020 which is < 0.05 level. The fat effect is significant.
Test for Exercise: calculated F=135.2, P=0.000 which is < 0.05 level. The Exercise effect is significant.
Test for interaction: calculated F=13.85, P=0.000 which is < 0.05 level. The interaction effect is significant.
b. Find the effect size for each factor and the interaction and explain the results. (Show all work to receive full credit)
The effect size for fat is 0.279 which is large.
The effect size for exercise is 0.849 which is large.
The effect size for interaction is 0.536 which is large.
Fat
Exercise
Mental acuity
1
1
4
1
1
4
1
1
2
1
1
4
1
1
3
1
2
6
1
2
5
1
2
4
1
2
4
1
2
5
2
1
3
2
1
1
2
1
2
2
1
2
2
1
3
2
2
8
2
2
8
2
2
7
2
2
8
2
2
6
3
1
2
3
1
2
3
1
2
3
1
2
3
1
1
3
2
5
3
2
7
3
2
5
3
2
5
3
2
6
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